5(2x+1)=3x-16

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Solution for 5(2x+1)=3x-16 equation:


Simplifying
5(2x + 1) = 3x + -16

Reorder the terms:
5(1 + 2x) = 3x + -16
(1 * 5 + 2x * 5) = 3x + -16
(5 + 10x) = 3x + -16

Reorder the terms:
5 + 10x = -16 + 3x

Solving
5 + 10x = -16 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
5 + 10x + -3x = -16 + 3x + -3x

Combine like terms: 10x + -3x = 7x
5 + 7x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 7x = -16 + 0
5 + 7x = -16

Add '-5' to each side of the equation.
5 + -5 + 7x = -16 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = -16 + -5
7x = -16 + -5

Combine like terms: -16 + -5 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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